scholarly journals On finite-time stability of nonlinear fractional-order systems with impulses and multi-state time delays

2021 ◽  
pp. 100010
Author(s):  
G. Arthi ◽  
N. Brindha
Keyword(s):  
Fractional Order ◽  
Finite Time ◽  
Time Delays ◽  
Fractional Order Systems ◽  
Time Stability ◽  
Finite Time Stability ◽  
State Time

scholarly journals Finite-time stability of linear stochastic fractional-order systems with time delay

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Lassaad Mchiri ◽  
Abdellatif Ben Makhlouf ◽  
Dumitru Baleanu ◽  
Mohamed Rhaima
Keyword(s):  
Time Delay ◽  
Fractional Order ◽  
Finite Time ◽  
Stochastic Analysis ◽  
Fractional Order Systems ◽  
Time Stability ◽  
Finite Time Stability ◽  
Analysis Techniques ◽  
Generalized Gronwall Inequality ◽  
Stability Of The Solution

AbstractThis paper focuses on the finite-time stability of linear stochastic fractional-order systems with time delay for $\alpha \in (\frac{1}{2},1)$ α ∈ ( 1 2 , 1 ) . Under the generalized Gronwall inequality and stochastic analysis techniques, the finite-time stability of the solution for linear stochastic fractional-order systems with time delay is investigated. We give two illustrative examples to show the interest of the main results.

New Result on Finite-Time Stability of Fractional-Order Nonlinear Delayed Systems

2015 ◽  
Vol 10 (6) ◽  
Author(s):  
Liping Chen ◽  
Wei Pan ◽  
Ranchao Wu ◽  
Yigang He
Keyword(s):  
Fractional Order ◽  
Finite Time ◽  
Lyapunov Method ◽  
Time Interval ◽  
Fractional Order Systems ◽  
Finite Time Interval ◽  
Time Stability ◽  
Delayed Systems ◽  
Finite Time Stability ◽  
Delayed System

Since Lyapunov method has not been well developed for fractional-order systems, stability of fractional-order nonlinear delayed systems remains a formidable problem. In this letter, finite-time stability of a class of fractional-order nonlinear delayed systems with order between 0 and 1 is addressed. By using the technique of inequalities, a new and simple delay-independent sufficient condition guaranteeing stability of fractional-order nonlinear delayed system over the finite time interval is obtained. Numerical examples are presented to demonstrate the validity and feasibility of the obtained results.

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